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Finding the Fourth Proportional to 378,289.08, 522,032.52 and 206,208.96

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Solution

The fourth proportional to 378,289.08, 522,032.52 and 206,208.96 is: 284,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,289.08 : 522,032.52 = 206,208.96 : x
  2. Step 2: Convert to fraction form
    378,289.08/522,032.52 = 206,208.96/x
  3. Step 3: Cross multiply
    378,289.08x = 522,032.52 × 206,208.96
  4. Step 4: Simplify right side
    378,289.08x = 107,647,783,035.38
  5. Step 5: Solve for x
    x = 107,647,783,035.38/378,289.08
  6. Step 6: Final answer
    x = 284,564.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.